基于时域不连续伽略金方法的电磁兼容问题预研

发布时间：2018-05-07 14:06

本文选题：时域不连续伽略金 + 数值流　；参考：《电子科技大学》2017年硕士论文

【摘要】：时域不连续伽略金方法是近年来数值技术领域研究火热的一种时域算法。这种算法并不是一种无中生有的新算法而是吸收多种时域算法的优点逐步发展形成的。在空间离散上借鉴了有限元法的空间离散方式,在单元耦合的方式上则借鉴了有限体法边界上流函数的概念,而在处理时间的问题上则应用了与时域有限差分法类似的差分方法。2002年J.S.Hethaven教授第一次将时域不连续伽略金方法引入分析电磁学问题,自此计算电磁学又有了新的分析利器。电磁兼容技术和电磁干扰的抑制技术是时下需求越来越高的技术手段。究其原因是现代电子设备结构功能日趋复杂,相互之间的干扰越来越多所造成的。电磁兼容的传统分析方法是测试,在产品定型后进行大量的可靠性测试从而保证产品的功能。但这种方法即使发现问题往往也会浪费大量金钱投入到补救措施中。因此,现代电子设备的开发,前期的数值建模分析是必不可少的一个环节。本文将应用时域不连续伽略金方法分析集成电路的电磁兼容问题中。文章构架大体可以归纳为:简要介绍电磁兼容的发展和分析要点以及时域不连续伽略金方法依托的有限元方法,有限体法,有限差分法简要概述。试图通过几种算法的探讨对比,说明时域不连续伽略金方法的优势和发展前景。一、探讨了时域不连续伽略金方法的具体实现。特别对于耗散问题应用数值流的迎风流进行了探讨,在时间上采用高阶的龙格库塔方法进行插值。与原来的中心流蛙跳法体系进行的对比分析。二、将时域不连续伽略金方法应用于集成电路源地模型的分析,时域不连续伽略金方法特别时域分析复杂的几何形状目标。本文正是利用这一特质进行了对应的应用。三、将时域不连续伽略金方法应用于集成电路源地模型的分析,时域不连续伽略金方法特别时域分析复杂的几何形状目标。本文正是利用这一特质进行了对应的应用。
[Abstract]:The time domain discontinuous Galerkin method is a kind of time domain algorithm which has been studied in the field of numerical technology in recent years. This algorithm is not a new algorithm, but is developed by absorbing the advantages of many time-domain algorithms. The spatial discretization of finite element method is used for reference, and the concept of upper flow function at the boundary of finite body method is used for element coupling. In 2002, Professor J.S.Hethaven first introduced the time domain discontinuous Galerkin method into the analysis of electromagnetics, and since then, there has been a new analytical tool for the calculation of electromagnetics. Electromagnetic compatibility (EMC) technology and electromagnetic interference suppression (EMI) technology are increasingly demanding. The reason is that the structure and function of modern electronic equipment are becoming more and more complex and the interference between them is increasing. The traditional analysis method of EMC is testing. After the product is finalized, a large number of reliability tests are carried out to ensure the function of the product. But even if the problem is discovered, it often wastes a lot of money into remedial measures. Therefore, the development of modern electronic equipment, early numerical modeling and analysis is an essential link. In this paper, the time domain discontinuous Galerkin method is used to analyze the electromagnetic compatibility of integrated circuits. The framework of this paper can be summarized as follows: the development and analysis of EMC and the finite element method, finite body method and finite difference method based on Galerkin method in time domain are briefly introduced. This paper attempts to illustrate the advantages and prospects of the time domain discontinuous Galerkin method through the discussion and comparison of several algorithms. Firstly, the realization of the time domain discontinuous Galerkin method is discussed. Especially, the numerical flow is applied to the dissipative problem, and the high order Runge-Kutta method is used to interpolate in time. The results are compared with the original center stream leapfrog system. Secondly, the time domain discontinuous Galerkin method is applied to the analysis of the integrated circuit source model. The time domain discontinuous Galerkin method is especially used to analyze complex geometric objects in the time domain. This article uses this characteristic to carry on the corresponding application. Thirdly, the time domain discontinuous Galerkin method is applied to the analysis of the integrated circuit source model. The time domain discontinuous Galerkin method is especially used to analyze complex geometric objects in the time domain. This article uses this characteristic to carry on the corresponding application.
【学位授予单位】：电子科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN03

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